64462628160 has 504 divisors, whose sum is σ = 263439371520. Its totient is φ = 14419335168.

The previous prime is 64462628107. The next prime is 64462628171. The reversal of 64462628160 is 6182626446.

64462628160 is a `hidden beast` number, since 6 + 4 + 4 + 6 + 2 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6627781 + ... + 6637499.

Almost surely, 2^64462628160 is an apocalyptic number.

64462628160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64462628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131719685760).

64462628160 is an abundant number, since it is smaller than the sum of its proper divisors (198976743360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64462628160 is a wasteful number, since it uses less digits than its factorization.

64462628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 64462628160 in words is "sixty-four billion, four hundred sixty-two million, six hundred twenty-eight thousand, one hundred sixty".